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If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 1534876, what will be the sum of the digits which are third from the left and third from the right?
8
6
10
14
10
Identify the target positions first; don't transform the entire number, only the specific digits required (3rd from left and 3rd from right).
Identify the target positions first; don't transform the entire number, only the specific digits required (3rd from left and 3rd from right).
Identify target digits
In the number 1534876, the 3rd digit from the left is 3. The 3rd digit from the right is 8.
Apply transformation rules
Rule 1: Add 1 to odd digits. Rule 2: Subtract 2 from even digits. 3 is odd, so 3+1 = 4. 8 is even, so 8-2 = 6.
Calculate the sum
The transformed digits are 4 and 6. The sum is 4 + 6 = 10.
A: 8 is incorrect because the sum of 4 and 6 is 10, not 8. B: 6 is incorrect as it only accounts for one transformed digit. D: 14 is incorrect because it likely incorrectly transformed 8 as 8+2 instead of 8-2.
C is correct because the 3rd digit from the left (3) becomes 4, and the 3rd digit from the right (8) becomes 6, summing to 10.
In questions involving long series or numbers, always locate the specific positions requested first to save time, rather than performing operations on every character.
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